Monday, June 24, 2013

1306.5106 (Michael C. Abbott)

The AdS3 x S3 x S3 x S1 Hernandez-Lopez Phases: a Semiclassical
Derivation
   [PDF]

Michael C. Abbott
This note calculates the Hernandez-Lopez phases for strings in AdS3 x S3 x S3 x S1 by semiclassical methods using the d(2,1;\alpha)^2 algebraic curve. By working at general \alpha\ we include modes absent from previous semiclassical calculations of this phase in AdS3 x S3 x T4. And by carefully re-deriving the semiclassical formula we clarify some issues of antisymmetrisation, cutoffs and surface terms which could safely be ignored in AdS5 x S5, and some issues about the terms c_1,s which were absent there. As a result we see agreement with the recently calculated all-loop dressing phase in the AdS3 x S3 x T4 case, and exactly 1/2 this in the general case AdS3 x S3 x S3 x S1 for any \alpha.
View original: http://arxiv.org/abs/1306.5106

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